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Finding the Fourth Proportional to 537,206.80, 805,722.56 and 158,038.82

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Solution

The fourth proportional to 537,206.80, 805,722.56 and 158,038.82 is: 237,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,206.80 : 805,722.56 = 158,038.82 : x
  2. Step 2: Convert to fraction form
    537,206.80/805,722.56 = 158,038.82/x
  3. Step 3: Cross multiply
    537,206.80x = 805,722.56 × 158,038.82
  4. Step 4: Simplify right side
    537,206.80x = 127,335,441,839.59
  5. Step 5: Solve for x
    x = 127,335,441,839.59/537,206.80
  6. Step 6: Final answer
    x = 237,032.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.